Assignment:
India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer computes the following probability distribution of the household size in India.
| Household Size |
Probability |
| 1 |
0.05 |
| 2 |
0.09 |
| 3 |
0.12 |
| 4 |
0.24 |
| 5 |
0.25 |
| 6 |
0.12 |
| 7 |
0.07 |
| 8 |
0.06 |
a. What is the probability that there are less than 5 members in a typical household in India?
b. What is the probability that there are 5 or more members in a typical ho use hold in India?
c. What is the probability that the number of members in a typical household in India is strictly between 3 and 6?
d. Graphically depict this probability distribution and comment on its symmetry.
Provide complete and step by step solution for the question and show calculations and use formulas.